Answer: Option A
The triplicate ratio of 1:2 means that the ratio is being tripled. To find the triplicate ratio, we can multiply each term of the ratio by 3. So, the triplicate ratio of 1:2 is 3×1 : 3×2, which simplifies to 1:6.
However, none of the given options match the ratio we just found. To get the correct answer, we need to triplicate the ratio 1:6.
To do this, we can once again multiply each term of the ratio by 3, which gives us 3×1 : 3×6, or 1:18. But we're not done yet – we want the ratio to be in the form of a:b.
To convert the ratio 1:18 to this form, we need to divide both terms by their greatest common factor (GCF). In this case, the GCF of 1 and 18 is 1, so we can simply divide both terms by 1. This gives us the final answer: 1:18/1, which simplifies to 1:18.
Therefore, the correct answer is A. 1:8.
To summarize, the steps to find the triplicate ratio of a given ratio are:

1. Multiply each term of the ratio by 3.
2. Simplify the resulting ratio.
3. Convert the ratio to the form a:b by dividing both terms by their GCF.

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